Answer:
Step-by-step explanation:
The area of a regular octahedron is given by:
area = 
. Let a is the length of the edge (diagonal).
area = 
Given that the diagonal of the octahedron is equal to height (h) of the tetrahedron i.e.
a = h, where h is the height of the tetrahedron and a is the diagonal of the octahedron. Let the edge of the tetrrahedron be e. To find the edge of the tetrahedron, we use:
The area of a tetrahedron is given by:
area = 
= 
The ratio of area of regular octahedron to area tetrahedron regular is given as:
Ratio = 
Answer: 2(11-6) + 3/4
Step-by-step explanation:
2(11-6) + 3/4
To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360° if the angle is measured in degrees or 2π if the angle is measured in radians .
Take the deritivive
remember
the deritivive of f(x)/g(x)=(f'(x)g(x)-g'(x)f(x))/(g(x)^2)
so
deritiveive is ln(x)/x is
remember that derivitive of lnx is 1/x
so
(1/x*x-1lnx)/(x^2)=(1-ln(x))/(x^2)
the max occurs where the value is 0
(1-ln(x))/(x^2)=0
times x^2 both sides
1-lnx=0
add lnx both sides
1=lnx
e^1=x
e=x
see if dats a max or min
at e/2, the slope is positive
at 3e/2, the slope is negative
changes from positive to negative at x=e
that means it's a max
max at x=e
I realize I didn't find the max point, so
sub back
ln(x)/x
ln(e)/e
1/e
the value of the max would be 1/e occuring where x=e
4th option is answer (1/e) because that is the value of the maximum (which happens at x=e)
Will put 8 ounce in the. up because first you subtract the 16 ounces the he used to fill his bottle which leaves you with 128 ounces and you will divide the 128 by the 16 cups to get x equals 8 ounces.
